(a) No, mass and weight are different physical quantities and they are expressed in different units.Mass is measured in kg, pound, slug and ounce. Weight is measured in force units, such as newtons or pound. Therefore mass and weight are different physical quantities and they are expressed in different units.
(b) Yes, mass is a property of one object alone, whereas weight results from the interaction of two objects.Mass is the quantity of matter that contained in the body. Thus, qualitatively, the mass of a body is the opposition offered by a body when a force tries to produce acceleration in it. Numerically, it is equal to the force required to produce unit acceleration in the body.
The Earth’s gravity exerts a downward force on any object near its surface. That object is attracted directly toward the center of the Earth with a force we call the object’s weight. So the downward force of the Earth’s gravity acting on the body is called the weight of the body.
From the above observation we conclude that, mass is a property of one object alone, whereas weight results from the interaction of two objects.
(c) Yes, the weight of an object is proportional to its mass.More generally, an objects weight (w) is equal to the product of its mass (m) times the acceleration due to gravity (g).
So, w = mg
Therefore the weight of an object is proportional to its mass.
(d) No, the mass of a body does not vary with changes in its local weight.The object’s weight is proportional to the local strength of gravity, which is measured by a downward vector called the acceleration due to gravity. Thus the weight of the body is different for different place, since the value of g is different for different place. But mass of the body will remain constant everywhere like Earth’s surface and surface of the Mars. It does not vary place to place. Therefore, the mass of a body does not vary with changes in its local weight.